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The aim of this section is to give a brief review of certain results from rational structures and uniform subgroups of connected and simply connected nilpotent Lie groups which will
In the affine case, a classification is only known in the subcat- egory of modules with finite-dimensional weight spaces ([18] for nonzero charge and [6] for zero charge), and
The aim of this paper is to show that it is possible to tackle the problem of quantizing an extension of the PU oscillator within a Lagrangian and a canonical ormulation, using
Using Dunkl operators, we introduce a continuous family of canonical invariants of finite reflection groups.. We verify that the elementary canonical invariants of the sym- metric
of the projective class of the semi-symmetric spaces, is a metrical approach also to determine some of the most natural anisotropic manifolds through the symmetry property given by
Elkin [12, 13] has studied equivalence of affine distributions on manifolds of dimension n ≤ 4 under diffeomorphisms of the underlying manifolds, resulting in local normal forms for
The results demonstrate that the contact geometry of submanifolds can offer an alter- native path to invariant data for curves besides the Fels–Olver equivariant method and
In the paper we discuss certain classes of vector distributions in the tangent bundles to manifolds, obtained by series of applications of the so-called generalized Cartan
